System and method for validating validity of sensor using control limit

1. A method for controlling an operation of a sensor installed in a gas turbine based on assessing a validity of the sensor, the method comprising: providing the sensor and a processor connected to the sensor by a communication network; generating, by the processor, a Bayesian inference model outputting a posterior distribution of a parameter of sensor data using a Bayesian sampling technique based on a prior distribution of the parameter of the sensor data and measured historical data of the sensor; determining, by the processor, control lines of the sensor data comprising an upper control line and a lower control line based on a credible interval of the posterior distribution, wherein each of the upper control line and the lower control line is a value being compared to real-time sensor data; receiving, by the processor, a performance reduction index of the gas turbine acquired by measuring a performance reduction degree of the gas turbine; updating, by the processor, the upper and the lower control lines by reflecting a trend of the performance reduction index; receiving, by the processor, the real-time sensor data from the sensor; monitoring, by the processor, whether the real-time sensor data deviates from the control lines; determining, by the processor, that the sensor is generating correct data until the real-time sensor data deviates from the control lines to ensure an extended continuity of the gas turbine in which the sensor is operated; triggering an alarm via a speaker and a display in response to determining that the real-time sensor data deviates from the control lines; and repairing or replacing the sensor when the real-time sensor data deviates from the control lines, wherein the parameter includes a mean and a standard deviation, wherein the credible interval of the posterior distribution comprises a first credible interval and a second credible interval, wherein the first credible interval is established by: determining a median value of the posterior distribution of the mean; and establishing the first credible interval as a first predetermined percentage of a highest posterior density of the posterior distribution of the mean with respect to the median value of the posterior distribution of the mean, wherein second credible interval is established by: determining a median value of the posterior distribution of the standard deviation, and establishing the second credible interval as a second predetermined percentage of the highest posterior density of the posterior distribution of the standard deviation with respect to the median value of the posterior distribution of the standard deviation, wherein the determining of the control lines comprises: selecting a first lower boundary value denoted as a μL and a first upper boundary value denoted as a μu for the first credible interval; selecting a second lower boundary value denoted as a σL and a second upper boundary value denoted as a σu for the second credible interval; determining a lower control limit range by combining the μL with each of the σL the σu, and an upper control limit range by combining the μu with each of the σL and the σu; and determining the lower control line within the lower control limit range and the upper control line within the upper control limit range.

2. The method of claim 1, wherein the sensor comprises at least one of a temperature sensor and a rotation speed sensor that are configured to measure a temperature and a rotation speed of the gas turbine.

3. The method of claim 1, wherein the lower control limit range is between the μL minus three times the σL and the μL minus three times the σU, and the upper control limit range is between the μU plus three times the σL and the μU plus three times the σU.

4. The method of claim 1, wherein the determining of the validity of the sensor comprises determining that the sensor is valid if the real-time sensor data is between the upper control line and the lower control line, and determining that the sensor is not valid if the real-time sensor data is higher than the upper control line or lower than the lower control line.

5. The method of claim 1, wherein the performance reduction index, depicted as a function of time, diminishes in line with the aging process of the gas turbine.

6. The method of claim 5, wherein the updated control lines maintain that a subsequent upper control line is always smaller than a preceding upper control line and a subsequent lower control line is always smaller than a preceding lower control line.

7. The method of claim 1, wherein the credible interval of the posterior distribution further comprises a third credible interval and a fourth credible interval, wherein the third credible interval represents a third predetermined percentage of a highest posterior density of the posterior distribution of the mean while the third predetermined percentage is smaller than the first predetermined percentage, and the fourth credible interval represents a fourth predetermined percentage of the highest posterior density of the posterior distribution of the standard deviation while the fourth predetermined percentage is smaller than the second predetermined percentage.

8. The method of claim 7, wherein the determining of the control lines further comprises: selecting a third lower boundary value and a third upper boundary value for the third credible interval; selecting a fourth lower boundary value and a fourth upper boundary value for the fourth credible interval; determining an additional lower control line based on a combination of the third lower boundary value with each of the fourth lower boundary value and the fourth upper boundary value, and an additional upper control line based on a combination of the third upper boundary value with each of the fourth lower boundary value and the fourth upper boundary value; and determining the validity of the sensor as a caution status if the real-time sensor data is between the additional lower control line and the lower control line or between the additional upper control line and the upper control line.